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3 years ago

A motorboat takes 5 hours to travel 100 kilometers going upstream. The return trip takes

Mathematics

1 answer:

tatuchka [14]3 years ago

8 0

Step-by-step explanation:

Let's say b is the rate of the boat in still water, and c is the rate of the current.

Distance = rate × time

Going upstream:

100 = (b − c) (5)

20 = b − c

Going downstream:

100 = (b + c) (2)

50 = b + c

Solve the system of equations using substitution or elimination. Using elimination, add the equations together:

70 = 2b

b = 35

c = 15

The boat's speed is 35 km/h, and the current's speed is 15 km/h.

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Which setof numbers could all be reasonably rounded to. 33,100

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Based on the side lengths given (a, b, and o, which triangles are right triangles?

Cloud [144]

Answer:

2 & 3

Step-by-step explanation:

Pythagorean Theorem is $a^2+b^2=c^2$ .

If the values given in each option satisfy the theorem, the sides will make a right triangle.

<h3>For Option One:</h3>

$4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}$

The sides would not make a right triangle.

<h3>For Option Two:</h3>

$6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}$

The sides would make a right triangle.

<h3>For Option Three:</h3>

$5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}$

The sides would make a right triangle.

<h3>For Option Four:</h3>

$6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}$

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The correct answer should be options two and three.

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2 years ago

Stephanie is making beef for a party the recipe uses 1 1/2 teaspoons of pepper, 3 2/4 teaspoons of garlic powder 1/8 teaspoons o

Arisa [49]

<u><em>Answer:</em></u>

3 tablespoons of pepper

7 tablespoons of garlic powder

$\frac{1}{4}$ tablespoon of thyme

8 tablespoons of onion powder

<u><em>Explanation:</em></u>

To double the amount, Stephanie will need to double the amount of each ingredient used. This means that she will multiply each amount by 2

<u>Therefore:</u>

New amount of any ingredient = old amount of that ingredient x 2

<u>This means that:</u>

New amount of pepper = $1\frac{1}{2}*2= 3$ tablespoons

New amount of garlic powder = $3\frac{2}{4}*2=7$ tablespoons

New amount of thyme = $\frac{1}{8}*2=\frac{1}{4}$ tablespoons

New amount of onion powder = $4*2=8$ tablespoons

Hope this helps :)

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3 years ago

2. Which equation is equivalent to x+8 = 21?

lakkis [162]

Answer:

The most obvious one i can think of would be

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Step-by-step explanation:

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